Practice - Set of Odd Positive Integers
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Practice Questions
Test your understanding with targeted questions
List three odd positive integers.
💡 Hint: Start counting from 1 and only include numbers not divisible by 2.
Is the set of all odd positive integers finite or infinite?
💡 Hint: Consider how the odd positive integers continue indefinitely.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a countable set?
💡 Hint: Think about how we define sizes of sets.
True or False: The set of odd positive integers has more elements than the set of positive integers.
💡 Hint: Consider the mapping function we introduced.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that if two sets have the same cardinality, and one of them is finite, then the other must be finite as well.
💡 Hint: Consider how bijections relate to the size of both sets.
Demonstrate a bijection between the set of rational numbers and the set of positive integers, citing your methodology.
💡 Hint: Think about how you can systematically traverse all fractions.
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